Deck 9: Extension D: Vectors and the Geometry of Space

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Question
Find the area of the region enclosed by one loop of the curve.
<strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Question
The graph of the following curve is given.Find the area that it encloses. <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)   <div style=padding-top: 35px>

A) A = <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of the region that lies inside the first curve and outside the second curve.
<strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area enclosed by the curve Find the area enclosed by the curve  <div style=padding-top: 35px>
Question
Find the area that the curve encloses. Find the area that the curve encloses.     <div style=padding-top: 35px> Find the area that the curve encloses.     <div style=padding-top: 35px>
Question
Find the length of the polar curve.
<strong>Find the length of the polar curve.  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>

A) <strong>Find the length of the polar curve.  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
B) <strong>Find the length of the polar curve.  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
C) <strong>Find the length of the polar curve.  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
D) <strong>Find the length of the polar curve.  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
E) None of these
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Deck 9: Extension D: Vectors and the Geometry of Space
1
Find the area of the region enclosed by one loop of the curve.
<strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the region enclosed by one loop of the curve.  </strong> A)   B)   C)   D)   E)
2
The graph of the following curve is given.Find the area that it encloses. <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)   <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)

A) A = <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)
B) <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)
C) <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)
D) <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)
E) <strong>The graph of the following curve is given.Find the area that it encloses.    </strong> A) A =   B)   C)   D)   E)
3
Find the area of the region that lies inside the first curve and outside the second curve.
<strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the region that lies inside the first curve and outside the second curve.  </strong> A)   B)   C)   D)   E)
4
Find the area enclosed by the curve Find the area enclosed by the curve
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5
Find the area that the curve encloses. Find the area that the curve encloses.     Find the area that the curve encloses.
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6
Find the length of the polar curve.
<strong>Find the length of the polar curve.  </strong> A)   B)   C)   D)   E) None of these

A) <strong>Find the length of the polar curve.  </strong> A)   B)   C)   D)   E) None of these
B) <strong>Find the length of the polar curve.  </strong> A)   B)   C)   D)   E) None of these
C) <strong>Find the length of the polar curve.  </strong> A)   B)   C)   D)   E) None of these
D) <strong>Find the length of the polar curve.  </strong> A)   B)   C)   D)   E) None of these
E) None of these
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